|
20402083 -
AL4 - ELEMENTS OF ADVANCED ALGEBRA
(objectives)
OBTAIN GOOD KNOWLEDGE OF THE CONCEPTS AND METHODS OF THE THEORY OF EQUATIONS IN ONE VARIABLE. UNDERSTAND AND BE ABLE TO APPLY THE “FUNDAMENTAL THEOREM OF CORRESPONDENCE OF GALOIS” IN ORDER STUDY THE “COMPLEXITY” OF A POLYNOMIAL.
|
7
|
MAT/02
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402085 -
AM310 - ELEMENTS OF ADVANCED ANALYSIS
(objectives)
The student is going to learn the basics of the Lebesgue integration theory: measure spaces, measurability, Lebesgue integral, L^p spaces, differentiation.
|
7
|
MAT/05
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402086 -
FM310 - MATHEMATICAL PHYSICS 2
|
Also available in another semester or year
|
|
20402087 -
GE310 - ELEMENTS OF ADVANCED GEOMETRY
(objectives)
A REFINED STUDY OF TOPOLOGY VIA ALGEBRAIC AND ANALYTIC TOOLS.
|
7
|
MAT/03
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402088 -
AN410 - NUMERICAL ANALYSIS 1
(objectives)
THE COURSE IS INTENDED TO GIVE THE FUNDAMENTALS OF NUMERICAL APPROXIMATION TECHNIQUES, WITH A SPECIAL EMPHASIS ON THE SOLUTION OF LINEAR SYSTEMS AND NONLINEAR SCALAR EQUATIONS, POLYNOMIAL INTERPOLATION AND APPROXIMATE INTEGRATION FORMULAE. BESIDES BEING INTRODUCTORY, SUCH TECHNIQUES WILL BE USED IN THE SEQUEL AS BUILDING BLOCKS FOR MORE COMPLEX SCHEMES.
|
7
|
MAT/08
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402089 -
IN410 - COMPUTER SCIENCE 2
|
Also available in another semester or year
|
|
20402090 -
MC410 - COMPLEMENTARY MATHEMATICS 1
(objectives)
To acquire deep understanding of the principal geometry arguments treated in high-school mathematics
|
7
|
MAT/04
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402091 -
TN410 - INTRODUCTION TO NUMBER THEORY
|
Also available in another semester or year
|
|
20402092 -
AN420 - NUMERICAL ANALYSIS 2
|
Also available in another semester or year
|
|
20402093 -
CP410 - PROBABILITY 2
(objectives)
To gain a solid knowledge of the basic aspects of probabilità theory: construction of probabilità measures on measurable spaces, 0-1 law, independence, conditional expectation, random variables, convergence of random variables, characteristic functions, central limit theorem, branching processes, discrete martingales.
|
7
|
MAT/06
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402094 -
AL410 - COMMUTATIVE ALGEBRA
(objectives)
THE PURPOSE OF THIS COURSE IS TO DEEPEN THE KNOWLEDGE OF SOME TOOLS AND FUNDAMENTAL PROPERTIES OF COMMUTATIVE RINGS AND THEIR MODULES, WITH PARTICULAR EMPHASIS TO THE CASE OF RINGS ARISING IN ALGEBRAIC NUMBER THEORY AND ALGEBRAIC GEOMETRY.
|
7
|
MAT/02
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402097 -
AM410 - ELLITTIC PARTIAL DIFFERENTIAL EQUATIONS
(objectives)
To develop a good knowledge of the general methods and the classical techniques useful in the study of partial differential equations
|
7
|
MAT/05
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402101 -
CP430 - STOCHASTIC CALCULUS
|
Also available in another semester or year
|
|
20402103 -
FM410 - MATHEMATICAL PHYSICS 3
(objectives)
CONTINUING THE STUDY, BEGAN DURING FM210, OF DYNAMIC SYSTEMS OF PHYSICAL INTEREST WITH MOST STYLISH AND POWERFUL TECHNIQUES, SUCH AS THE LAGRANGIAN AND HAMITONIAN FORMALISM, THAT ARE IN THE VAST RANGE OF APPLICATIONS OF ANALYSIS AND MATHEMATICAL PHYSICS.
|
7
|
MAT/07
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402104 -
GE410 - ALGEBRAIC GEOMETRY 1
(objectives)
Introduction to the study of topological and geometrical structures defined using algebraic methods. Refinement of the algebraic knowledge using applications to the study of algebraic varieties in affine and projective spaces.
|
7
|
MAT/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402108 -
IN430 - INFORMATICS 4: ADVANCED COMPUTING TECHNIQUES
|
Also available in another semester or year
|
|
20402113 -
MC430 - LABORATORY: DIDACTICS FOR MATHEMATICS
|
Also available in another semester or year
|
|
20402114 -
ME410 - ELEMENTARY MATHEMATICS FROM AN ADVANCED POINT OF VIEW
|
Also available in another semester or year
|
|
20402115 -
ST410 - STATISTICS 1
(objectives)
Acquire a good understanding of the basic statistical mathematical methodologies for inference problems and statistical modeling. Develop a knowledge of some specific statistical packages for the practical application of acquired theoretical tools
|
7
|
SECS-S/01
|
60
|
12
|
-
|
-
|
Elective activities
|
ITA |
|
20402122 -
FS420 - QUANTUM MECHANICS
(objectives)
THE COURSE AIMS TO PROVIDE A BASIC KNOWLEDGE OF QUANTUM MECHANICS, DISCUSSING THE MAIN EXPERIMENTAL EVIDENCES AND THE FOLLOWING THEORETICAL INTERPRETATIONS WHICH LED TO THE CRISIS OF CLASSICAL PHYSICS AND ILLUSTRATING ITS FUNDAMENTAL PRINCIPLES: THE CONCEPT OF PROBABILITY, THE WAVE-PARTICLE DUALITY, THE UNCERTAINTY PRINCIPLE. THE QUANTUM DYNAMICS, THE SCHRODINGER EQUATION AND ITS RESOLUTION FOR SOME PHYSICAL RELEVANT SYSTEMS WILL BE THEN DESCRIBED.
|
7
|
FIS/02
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402123 -
MA410 - APPLIED AND INDUSTRIAL MATHEMATICS
|
Also available in another semester or year
|
|
20402249 -
CH410 - ELEMENTS OF CHEMISTRY
(objectives)
Acquiring knowledge of the basic principles of General Chemistry and the ability to apply the acquired knowledge to simple problems of Chemistry.
|
7
|
CHIM/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20402290 -
IN420 - COMPUTER SCIENCE 3, INFORMATION THEORY
|
Also available in another semester or year
|
|
20410031 -
MF410 - MATEMATICA FINANZIARIA
|
Also available in another semester or year
|
|
20410034 -
ELLITTIC PARTIAL DIFFERENTIAL EQUATIONS
|
Also available in another semester or year
|
|
20410036 -
FM450 - ASPETTI MATEMATICI DELLA MECCANICA QUANTISTICA
|
Also available in another semester or year
|
|
20410037 -
GE450 - TOPOLOGIA ALGEBRICA
|
Also available in another semester or year
|
|
20410038 -
GRAPH THEORY
(objectives)
Provide tools and methods of graph theory
|
7
|
MAT/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410040 -
COMPUTATIONAL METHODS IN SYSTEMS BIOLOGY
|
Also available in another semester or year
|
|
20410044 -
FS430 - FISICA 3, RELATIVITA' E TEORIE RELATIVISTICHE
|
Also available in another semester or year
|
|
20410056 -
FS410 - LABORATORIO DI DIDATTICA DELLA FISICA
|
Also available in another semester or year
|
|
20402095 -
AL420 - ALGEBRAIC THEORY OF NUMBERS
|
Also available in another semester or year
|
|
20402098 -
AM420 - SOBOLEV SPACES AND PARTIAL DERIVATIVE EQUATIONS
|
Also available in another semester or year
|
|
20402100 -
CP420 - STOCHASTIC PROCESSES
|
Also available in another semester or year
|
|
20402106 -
GE430 - DIFFERENTIAL GEOMETRY 2
|
Also available in another semester or year
|
|
20402110 -
IN450 - INFORMATICS 6: ALGORITHMS FOR CRYPTOGRAPHY
|
Also available in another semester or year
|
|
20410073 -
IN460 - INFORMATICA 7, GEOMETRIA COMPUTAZIONALE
|
Also available in another semester or year
|
|
20402291 -
ST420 – MULTIVARIATE STATISTICAL ANALYSIS, MATHEMATICAL STATISTICS
(objectives)
Provide statistical models and parameter estimates. Studying asymptotic theory of estimators
|
7
|
SECS-S/01
|
60
|
12
|
-
|
-
|
Elective activities
|
ITA |
|
20410100 -
AC310 - Complex analysis 1
|
Also available in another semester or year
|
|
20410094 -
GE470 - Riemann surfaces
|
Also available in another semester or year
|
|
20402280 -
AN430 – NUMERICAL ANALYSIS 3
|
Also available in another semester or year
|
|
20410107 -
CR410 - CRITTOGRAFIA 1
(objectives)
Acquire a basic understanding of the notions and methods of public-key encryption theory, providing an overview of the models which are most widely used in this field.
|
7
|
MAT/03
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410068 -
MATHEMATICS OF FINANCIAL MARKETS
(objectives)
Acquire knowledge of the basic notions of financial mathematics. Deepen the valuation of financial assets and bonds, the forward rate structure of interest rates. Studying CAPM and APT Templates for portfolio choices, utility functions, stock price dynamics in discrete and continuous time, valuation of derivatives
|
7
|
SECS-S/06
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410069 -
FS410 - LABORATORIO DI DIDATTICA DELLA FISICA
|
Also available in another semester or year
|
|
20410133 -
IN480 - CALCOLO PARALLELO E DISTRIBUITO
|
Also available in another semester or year
|
|
20402279 -
AC310 – COMPLEX ANALYSIS 1
|
Also available in another semester or year
|
|
20410137 -
IN410 - MODELLI DI CALCOLO
(objectives)
The course of Computer Institutions is devoted to the deepening of the mathematical aspects of the computation concept, to the study of the relationships between different computational models and computational complexity.
|
7
|
MAT/01
|
72
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410149 -
IN490 - PROGRAMMING LANGUAGES
(objectives)
Present the main concepts of the theory of formal languages and their application to the classification of programming languages. Introduce the main techniques for syntactic analysis of programming languages. Learn to recognize the structure of a programming language and techniques to implement its abstract machine. Knowing the object-oriented paradigm and another non-imperative paradigm.
|
7
|
INF/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410138 -
IN420 - Information Theory
|
Also available in another semester or year
|
|
20410157 -
AL430 - COMMUTATIVE RING AND IDEAL
(objectives)
To provide the students with the technical and theoretical basis for addressing recent literature and current issues in the multiplicative theory of ideals, developing the themes that originated from the works of L. Kronecker, W. Krull, E. Noether, P. Samuel, P. Jaffard, R. Gilmer
|
7
|
MAT/02
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410139 -
AN430 - FINITE ELEMENTS METHOD
(objectives)
Introduce the Finite Element Method for the Numeric Solution of Partial Derivative Equations; in particular: computational fluid dynamics, transport problems; mechanics of computational solids.
|
7
|
MAT/08
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410140 -
IN430 - ADVANCED COMPUTING TECHNIQUES
|
Also available in another semester or year
|
|
20410141 -
AL440 – GROUP THEORY
|
Also available in another semester or year
|
|
20410142 -
FS440 - DATA ACQUISITION
(objectives)
To provide the student with basic knowledge of how to build a nuclear physics experiment based on data collection by detector, equipment control and experiment, monitoring of the good functioning of the equipment and the quality of the Acquired data.
|
7
|
FIS/04
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410143 -
IN440 - COMBINATORIAL OPTIMISATION
(objectives)
Acquire skills on key resolution techniques for combinatorial optimization issues; To deepen the skills on graph theory; Acquire advanced technical skills for designing, analyzing and deploying algorithms for troubleshooting graphics, trees, and flow networks.
|
7
|
INF/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410144 -
AM450 - FUNCTIONAL ANALYSIS
|
Also available in another semester or year
|
|
20410145 -
FS450 - STATISTICAL MECHANICS
(objectives)
Acquire the basic knowldege of the fundamental principles of statistiscal mechanics for classical and quantum systems.
|
7
|
FIS/02
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410146 -
IN460 - COMPUTATIONAL GEMOMETRY
|
Also available in another semester or year
|
|
20410147 -
IN470- COMPUTATIONAL METHODS IN SYSTEMS BIOLOGY
(objectives)
Acquire the basic knowledge of biological systems and the issues related to their understanding also in relation to deviations from normal functioning and thus on the onset of pathologies. Maintain the modeling aspect as well as that of numerical simulation, especially problems formulated by equations and discrete systems. Acquire the knowledge of the major bio-informatics algorithms useful for analyzing biological data.
|
7
|
INF/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410148 -
IN480 - PARALLEL AND DISTRIBUTED COMPUTING
(objectives)
Acquire parallel and distributed programming techniques and knowledge of modern hardware and software architectures for high performance scientific computing. Introduce distributed iterative methods for the simulation of numeric problems. Acquire the knowledge of newly conceived languages for dynamic programming in scientific computation, such as Julia's language.
|
7
|
ING-INF/05
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410187 -
IN460 - Laboratory of geometric and graphic programming
(objectives)
Acquire conceptual and programming tools for the geometric modeling of curves, surfaces and solids,
and computer-aided design. Acquire the knowledge of the main computer graphics techniques, also on the web platform,
with python and javascript languages.
|
7
|
ING-INF/05
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410189 -
LM410 -THEOREMS IN LOGIC 1
(objectives)
To acquire a good knowledge of first order classical logic and its fundamental theorems
|
7
|
MAT/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410190 -
LM420 - THEOREMS IN LOGIC 2
(objectives)
To support the students into an in-depth analysis of the main results of first order classical logic and to study some of their remarkable consequences
|
7
|
MAT/01
|
60
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410191 -
LM430 - LOGICAL THEORIES 2
|
Also available in another semester or year
|
Università Roma Tre
